54967248 has 200 divisors, whose sum is σ = 186529728. Its totient is φ = 15303168.

The previous prime is 54967177. The next prime is 54967249. The reversal of 54967248 is 84276945.

It is a happy number.

54967248 is a `hidden beast` number, since 549 + 67 + 2 + 48 = 666.

Its product of digits (483840) is a multiple of the sum of its prime divisors (168).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (54967249) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 662215 + ... + 662297.

Almost surely, 2^54967248 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 54967248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (93264864).

54967248 is an abundant number, since it is smaller than the sum of its proper divisors (131562480).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

54967248 is a wasteful number, since it uses less digits than its factorization.

54967248 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 183 (or 168 counting only the distinct ones).

The product of its digits is 483840, while the sum is 45.

The square root of 54967248 is about 7413.9900188765. The cubic root of 54967248 is about 380.2197436332.

The spelling of 54967248 in words is "fifty-four million, nine hundred sixty-seven thousand, two hundred forty-eight".